Homework SourseThe following is sample information Test the hypothesis that
The following is sample information. Test the hypothesis that the treatment means are equal. Use the 0.01 significance level.
Compute SST, SSE, and SS total and complete an ANOVA table. (Round SS, MS and F values to 3 decimal places.)
| The following is sample information. Test the hypothesis that the treatment means are equal. Use the 0.01 significance level. |
Solution
(a) Ho: The treatment means are the same.
Ha: At least one treatment mean is different.
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(b) Given a=0.01, the critical value is F(0.99, df1=2, df2=9) =8.02 (from F table)
Reject H0 if the test statistic is greater than 8.02
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(c)
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(e)Do not reject Ho
| ANOVA table | |||||
| Source | SS | df | MS | F | p-value |
| Treatment | 2.167 | 2 | 1.083 | 0.229 | .7995 |
| Error | 42.50 | 9 | 4.722 | ||
| Total | 44.667 | 11 |
